I cannot try this myself, as I do not wish to mess with my already overcustomised installation so, off the cuff:
How did you edit your program list for the mentioned user? there are a few Start menus. I suspect you have customised the one which sits in the Program Data - Microsoft - windows - Start menu folder. This is the general folder for all users. If you look under Users - username - Appdata - Roaming - Microsoft - Windows, you will find the individual Start menu.
However, I would suggest you be ready with your backup before you dive in here. I think that the OS reads the original, ( in Program Data) and incorporates it in the user portion, so it may not be possible to do what you wish.